In Situ Scanning Tunneling Microscopy and X-ray Photoelectron

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In Situ Scanning Tunneling Microscopy and X‑ray Photoelectron Spectroscopy Studies of Ethylene-Induced Structural Changes on the Pt(100)-hex Surface Zhongwei Zhu,†,‡,⊥ Derek R. Butcher,†,‡,⊥ Baohua Mao,§ Zhi Liu,§ Miquel Salmeron,*,‡,∥ and Gabor A. Somorjai*,†,‡ †

Department of Chemistry and ∥Department of Materials Science and Engineering, University of California, Berkeley, California 94720, United States ‡ Materials Sciences Division and §Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States S Supporting Information *

ABSTRACT: We have studied the structures of the Pt(100) surface in the presence of gas-phase ethylene at room temperature. High-pressure scanning tunneling microscopy shows that the hexagonal reconstruction on the clean Pt(100) surface is preserved under 1 Torr of C2H4, which produces an ethylidyne and di-σ-bonded ethylene saturated surface. At 5 × 10−6 Torr of C2H4, coadsorbed CO from the background gases lifts the reconstruction, with the excess Pt atoms from the hexagonal surface forming islands on the surface. The chemisorption of CO from background gases in the vacuum system, in the nominally pure C2H4, is revealed by ambient-pressure X-ray photoelectron spectroscopy.

1. INTRODUCTION Ethylene hydrogenation has long been a model system in heterogeneous catalysis on Pt catalysts. This reaction is structure insensitive, since the turnover rate is found to be independent of the Pt catalyst structure.1−4 The structure of catalyst surfaces is known to depend on its chemical composition, which often leads to surface structures distinct from the bulk termination. While such restructuring is expected to play a key role in the catalytic turnover, techniques for chemical and crystallographic characterization of the surfaces in the presence of reactants are only now becoming available. Two such techniques are high-pressure scanning tunneling microscopy (HP-STM) and ambient-pressure X-ray photoelectron spectroscopy (AP-XPS). The Pt(100) surface is an appealing system in surface science studies because it shows structures that are different from those of the bulk layers. Low-energy electron diffraction (LEED) revealed that, above 440 K in vacuum, the topmost layer of the clean surface rearranges from the square lattice characteristic of the bulk planes to a densely packed quasi-hexagonal layer.5−9 The long-range periodicity of the reconstructed surface was found to be (5 × 20) or (5 × 25) with respect to that of the (1 × 1) bulk structure. This reconstructed structure is generally denoted as Pt(100)-hex.7 The surface strain that originates © 2013 American Chemical Society

from the lattice mismatch between the hexagonal overlayer and the square bulk termination is balanced by the energy gain through the close packing.10 When heating above 1100 K, the Pt(100)-hex rotates by 0.7° with respect to the second layer, forming a superstructure named as Pt(100)-hex-R0.7°.6,7 Both Pt(100)-hex and Pt(100)-hex-R0.7° reconstructions can be lifted by exposure to CO,11−18 O2,18−20 NO,15,21,22 and benzene,17 leading to the formation of islands by the excess Pt atoms from the initial hexagonally reconstructed Pt(100) surface. Early studies of ethylene adsorption on Pt(100)-hex revealed that, at 120 K, C2H4 adsorbs molecularly as a di-σ-bonded complex, favoring the 3-fold hollow sites at the surface.23 At 350 K, all the di-σ-bonded ethylene rearranges to ethylidyne (CCH3) that centers on 3-fold sites as well, with the hydrogen generated by the reaction desorbing from the surface. In contrast, on the (1 × 1) Pt(100) surface, ethylene decomposes through another pathway in which vinylidene is suggested as the intermediate. At high pressures (35 Torr) of C2H4 at room temperature, sum frequency generation (SFG) Received: October 15, 2012 Revised: December 18, 2012 Published: January 27, 2013 2799

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C 1s, and O 1s core level spectra were acquired at incident Xray photon energies of 340, 570, and 810 eV, respectively, such that photoelectrons with similar kinetic energies (∼280 eV) were generated, in order to ensure the same surface sensitivity (∼0.6 nm) for all the elements.32 The energy scale of each XPS spectrum was calibrated with respect to the Fermi edge at 0 eV. After normalization and background subtraction, the integrated peak areas were employed to monitor the CO and C2H4 coverage on Pt(100).

vibrational spectra have shown that both ethylidyne and di-σbonded ethylene are present on the Pt(100) surface.24 At catalytically active temperatures and pressures, the most reactive pathway for ethylene hydrogenation involves the πbonded ethylene species, whereas the reaction of hydrogen with ethylidyne and di-σ-bonded ethylene occurs relatively slowly. In previous experimental work, it was reported that C2H4 can remove the hexagonal reconstruction on Pt(100) as is the case with CO, O2, and NO. Exposure of Pt(100)-hex to C2H4 at room temperature leads to the disappearance of the one-fifth order diffraction spots in LEED.25,26 Using STM, Ritter et al.15 first observed a heterogeneous nucleation process beginning at lattice defects for the ethylene-induced removal of Pt(100)-hex, followed by the anisotropic growth of the (1 × 1) structure related to the orientation of the original reconstructed surface. Rønning et al.27 showed that 2 × 10−8 mbar of C2H4 can cause the (1 × 1) island domains to form on Pt(100)-hex-R0.7°. In a series of experiments with ethylene exposures ranging from 9 to 72 L, the authors found that the islands grow following the direction of stripes on the reconstructed surface. Heating the ethylene-saturated Pt(100) surface in vacuum does not lead to graphite formation as is the case on Pt(111), but results in a partial relaxation of the surface back to the hexagonal layer at 670 K. The outermost layer is fully rearranged to the quasihexagonal pattern above 900 K.27 The advent of in situ characterization techniques such as HPSTM and AP-XPS renders it possible to study the important reconstruction processes of catalyst surfaces, in the presence of gases well beyond the pressure limits that were previously accessible. With these tools, we are able to determine the structure of Pt(100) in the presence of ethylene at pressures in the torr range, revealing that the hexagonal reconstruction is preserved under the high-pressure conditions. At low pressures of C2H4 (5 × 10−6 Torr), however, background CO coadsorbs with C2H4 and lifts the hexagonal reconstruction. Further increasing the C2H4 pressure to 1 Torr does not re-establish the Pt(100)-hex reconstruction.

3. RESULTS AND DISCUSSION 3.1. Clean Pt(100)-hex. Figure 1a,b shows the model of the Pt(100)-hex surface, in which a quasi-hexagonal overlayer of Pt

Figure 1. (a) Top view and (b) side view of the model of the Pt(100)hex surface. Yellow and brown balls represent the surface and the bulk layers, respectively. Only the first layer is hexagonally reconstructed. (c) STM image of Pt(100)-hex in UHV and (d) the topographic profile of the line in (c). The periodicity along the [011] direction is ∼1.4 nm, and the height corrugation is ∼30 pm, compared to a monatomic step height of 220 pm.

atoms reside on top of the underlying (100) plane.5 The distances between the Pt atoms in the topmost hexagonal layer have decreased by 3.8% relative to the bulk value,33 such that six rows of atoms in the reconstructed layer commensurately fit over five rows of atoms in the substrate along the [011] direction. The quasi-hexagonal overlayer therefore contains ∼25% more Pt atoms than the (1 × 1) layer. Figure 1c,d shows the STM image of the clean Pt(100)-hex surface and a 7 nm topography line profile along the [011] direction, respectively. The mismatch between the top two layers results in ∼30 pm modulation of the atomic heights along the [011] direction, which leads to the appearance of parallel stripes under STM. The average spacing between the stripes is 1.4 nm, as shown in Figure 1d, in accordance with the width of five atomic rows on the substrate. 3.2. Preservation of the Hexagonal Reconstruction under 1 Torr of C2H4. Figure 2a shows that, after introducing 1 Torr of C2H4 into the HP-STM system, the stripes characteristic of the hexagonal reconstruction are preserved. The structure is stable under 1 Torr of C2H4 at 298 K even after several hours of exposure. A line scan profile along the [011] direction, as in Figure 2b, reveals that the row periodicity remains at 1.4 nm. Since the major species on Pt(100) at high C2H4 pressures are ethylidyne and di-σ-bonded ethylene that both favor 3-fold hollow sites on the hexagonal overlayer,24 it appears that the reconstruction is preserved by these species. The height corrugation has increased from ∼30 to ∼120 pm, because the presence of ethylidyne and di-σ-bonded ethylene alters the electronic structure of the Pt(100)-hex surface, which affects the tunneling probability and hence leads to the change of apparent heights. The high coverage of ethylidyne and di-σ-

2. EXPERIMENTAL SECTION The STM experiments were conducted in a home-built HPSTM system that was described previously.28 A small Au-coated HP-STM cell is mounted inside a ultrahigh vacuum (UHV) chamber with a base pressure of 10−10 Torr. The cell can be isolated from the rest of the system to allow the introduction of reactant gases to pressures exceeding 1 Torr. A clean Pt(100)hex crystal was prepared in a separate UHV chamber on the HP-STM system by Ar+ sputtering at 1000 eV at 298 K for 20 min, annealing at 10−7 Torr of O2 at 923 K for 5 min, and annealing in vacuum at 1073 K for 15 min. The sputtering and annealing cycles were repeated until the Auger spectra showed the absence of impurities on the Pt(100)-hex sample surface. All the STM images were recorded at 298 K using electrochemically etched tungsten tips,29 under constantcurrent mode with a sample bias of 0.1−0.2 V and a tunneling current of 0.1−0.2 nA. AP-XPS measurements were carried out at Beamline 9.3.2 of the Advanced Light Source at Lawrence Berkeley National Laboratory.30,31 The apparatus consists of a main chamber for XPS analysis and another chamber for sample preparation, with both chambers having a base pressure in the 10−10 Torr range. The Pt(100)-hex crystal was cleaned by the identical procedure to that in the STM experiments, and the surface was analyzed with XPS to confirm that no contaminants were present. Pt 4f, 2800

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which correspond to ethylidyne and di-σ-bonded ethylene, respectively.37 The ethylidyne peak area is 3 times larger than that of di-σ-bonded ethylene. Upon C2H4 evacuation to 10−8 Torr, the gas-phase C2H4 peak disappears as expected. Di-σ-bonded ethylene also partially desorbs from the surface, which leads to a small decrease in the intensity of the di-σ-bonded ethylene component and thus a slight change in the overall peak shape at 284.1 eV. The partial desorption of di-σ-bonded ethylene at 298 K accords with literature reports that di-σbonded ethylene has two desorption peaks at 280 and 330 K.23 The ethylidyne peak, however, remains unchanged upon evacuating C2H4. The absence of any oxygen XPS peak in O 1s spectra indicates that no adsorption of background CO occurs. Under these conditions, the STM image (Figure S1, Supporting Information) shows the persistence of the hexagonal reconstruction. 3.3. CO Coadsorption at Low Pressures of C2H4. In contrast to the observations at 1 Torr of C2H4, Figure 4a shows that, at 5 × 10−6 Torr of C2H4, all bright stripes that are representative of the hexagonal reconstruction have disappeared on Pt(100). These stripes are replaced by a large number of islands formed by the 25% excess Pt atoms in the initial reconstructed surface. The line scan profile along the [011] direction in Figure 4c reveals that the island heights are ∼120 pm, which is smaller than a monatomic Pt step (∼220 pm) because of the close distance of islands and the finite tip radius. These islands preferentially grow following the orientation of the original bright stripes. As shown in the histograms in Figure 4d,e, which represent measurements of over 200 islands, the islands are 2.3 nm long along the [0-11] direction and 1.4 nm wide along the [011] direction. Moreover, the island structure is stable upon a subsequent dosage of C2H4 to 1 Torr at 298 K, as observed in Figure 4b that was acquired after a 4 h exposure to 1 Torr of C2H4. AP-XPS spectra provide more insight into the cause of the removal of the hexagonal reconstruction at low partial pressures of C2H4. Figure 5 shows Pt 4f, C 1s, and O 1s core level spectra acquired in UHV, at 5 × 10−6 Torr, after further increasing the C2H4 pressure to 1 Torr from 5 × 10−6 Torr, and after

Figure 2. (a) STM image of Pt(100)-hex after the introduction of C2H4 to increase the pressure from 10−10 to 1 Torr. The stripes indicate that the Pt(100)-hex reconstruction is preserved. (b) Line scan profile of the blue line in (a). The periodicity along the [011] direction remains at ∼1.4 nm, whereas the height corrugation increases to ∼120 pm on average.

bonded ethylene under high gas pressures also enhances the noise level at the surface, causing some stripes to distort. In addition, the stripes under 1 Torr of C2H4 in Figure 2a become blurred as compared with the sharp ones in UHV in Figure 1b, which is likely due to the mobility of the adsorbed species. Such mobility also prevents resolving the adsorbates in our STM images, consistent with literature reports on Pt(111) by Land et al.,34 who found that the ethylidyne is not resolvable by STM on the Pt(111) surface unless the system is cooled to below 230 K, although a sharp (2 × 2) pattern is observable by LEED above 230 K. The high mobility of the adsorbates is due to the low energy barrier of ∼0.11 eV for ethylidyne diffusion.35 Important additional information is obtained from the peaks in the Pt 4f, C 1s, and O 1s core level spectra, as shown in Figure 3. The spectra were collected under UHV, at 1 Torr of C2H4, and after gas evacuation. Pt(100)-hex is free of contaminants prior to gas introduction. At 1 Torr of C2H4, a shoulder arises at 71.6 eV in the Pt 4f spectrum from the surface atoms bonded to the ethylene-related adsorbates. In the C 1s spectrum, the peak at 286.8 eV arises from gas-phase C2H4,36 while the other peak at 284.1 eV is characteristic of surface hydrocarbon species.37 The 284.1 eV peak can be deconvoluted into two components at 284.3 and 283.6 eV,

Figure 3. (left) Pt 4f; (center) C 1s; and (right) O 1s XPS spectra of Pt(100)-hex obtained under UHV (black), after dosing 1 Torr of C2H4 (red), and after gas evacuation (blue). A Shirley-type background was subtracted from all the spectra, with the intensities scaled based on the normalization of Pt 4f peaks. Ethylidyne and di-σ-bonded ethylene saturate the surface when the gas pressure reaches 1 Torr. The di-σ-bonded ethylene peak decreases in intensity after removing gas-phase C2H4. The absence of any oxygen peak indicates that the accumulation of background CO on Pt(100) is prevented by the saturation of the ethylene-related species. 2801

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feature at 286 eV is observed, which is characteristic of CO chemisorbed on Pt(100).37 The CO peak assignment is rationalized by the presence of two O 1s peaks at 532.5 and 531.4 eV, which are assigned to CO on top and bridge sites, respectively.39,40 The presence of chemisorbed CO, along with the fact that the islands in Figure 4a look similar to pure CO-induced islands on Pt(100) under STM,14,17 strongly suggests that CO plays an important role in lifting the hexagonal reconstruction. The CO originates from background gases in the chamber, which increases due to displacement from the chamber walls and pump memory effects upon introduction of a new gas species. At 1 Torr, C2H4 saturates the surface and mostly converts to ethylidyne, leaving almost no vacancy on the surface for CO to adsorb. In addition, the short mean free path of residual background CO molecules at 1 Torr significantly decreases the probability for CO to reach the Pt surface. As a result, the hexagonal reconstruction remains under C2H4 at 1 Torr. On the other hand, at 5 × 10−6 Torr of C2H4, the background CO can reach the surface because of a longer mean free path and adsorb owing to its strong chemisorption energy, producing a CO coverage of ∼0.13 ML in our experiments. When the C2H4 pressure is increased from 5 × 10−6 Torr to 1 Torr, the CO and the gas-phase C2H4 C 1s peaks overlap. However, the O 1s peaks are still visible in the spectra. The bridge-CO peak becomes more intense than the top-CO peak, but the total CO coverage remains constant at ∼0.13 ML. The shift of the surface ethylene peak to 284.0 eV suggests a change in the adsorbates on the surface, which causes the top-CO to diffuse to bridge sites. CO also lowers the amount of ethylene on the Pt(100) surface with (1 × 1) islands to be ∼40% lower than that on the hexagonally reconstructed Pt(100) surface, as calculated from the peak areas of C 1s and Pt 4f peaks. After C2H4 evacuation, the surface ethylene peak shifts down to 283.9 eV in the C 1s spectra, and the CO peak, previously buried under the C2H4 gas peak, becomes visible again. The top-CO and bridge-CO now have similar intensities, accompanied with an increase of CO coverage to ∼0.17 ML.

Figure 4. (a) STM image of Pt(100)-hex taken at 5 × 10−6 Torr of C2H4. The hexagonal reconstruction is lifted, and the excess Pt atoms grow islands along the [0-11] direction. (b) STM image of Pt(100)hex after increasing C2H4 pressure to 1 Torr from (a). The surface structure does not change from that at the initial lower pressure. (c) Topographic profiles along the blue lines in (a) and (b). The average corrugation of islands is ∼120 pm in both cases. (d, e) Histograms of island sizes along [0-11] and [011] directions, respectively. The islands are 2.3 nm in length and 1.4 nm in width on average.

subsequent evacuation to 10−9 Torr. At 5 × 10−6 Torr of C2H4, the C 1s peak is located at 283.7 eV for ethylene adsorbate species bound to the Pt(100) surface.38 Importantly, another

Figure 5. Evolution of Pt 4f (left), C 1s (center), and O 1s (right) XPS spectra with changes in C2H4 pressures. The spectra were taken under UHV (black), at 5 × 10−6 Torr of C2H4 (orange), at 1 Torr of C2H4 increased from 5 × 10−6 Torr (red), and after evacuation (blue). All the spectra are normalized with respect to the intensity of Pt 4f peaks acquired under the same conditions, after a Shirley-type background subtraction. The adsorption of C2H4 also gives rise to the shoulder at 71.6 eV in the Pt 4f spectra. Changes in energy and intensity of the C2H4-related peaks with pressure are observed. The O 1s peaks clearly illustrate that CO incorporates onto the surface at low C2H4 pressures and stays on Pt(100) at high C2H4 pressures. 2802

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(9) Heinz, K.; Lang, E.; Strauss, K.; Müller, K. Observation of the Structural Transition Pt(100) 1 × 1 → Hex by LEED Intensities. Appl. Surf. Sci. 1982, 11/12, 611−624. (10) Fiorentini, V.; Methfessel, M.; Scheffler, M. Reconstruction Mechanism of Fcc Transition Metal (001) Surfaces. Phys. Rev. Lett. 1993, 71, 1051−1054. (11) Norton, P. R.; Da Vies, J. A.; Creber, D. K.; Sitter, C. W.; Jackman, T. E. The Pt(100) (5 × 20) ⇌ (1 × 1) Phase Transition: A Study by Rutherford Backscattering, Nuclear Microanalysis, LEED and Thermal Desorption Spectroscopy. Surf. Sci. 1981, 108, 205−224. (12) Behm, R. J.; Thiel, P. A.; Norton, P. R.; Ertl, G. The Interaction of CO and Pt(100). I. Mechanism of Adsorption and Pt Phase Transition. J. Chem. Phys. 1983, 78, 7437−7447. (13) Thiel, P. A.; Behm, R. J.; Norton, P. R.; Ertl, G. The Interaction of CO and Pt(100). II. Energetic and Kinetic Parameters. J. Chem. Phys. 1983, 78, 7448−7458. (14) Tao, F.; Dag, S.; Wang, L. W.; Liu, Z.; Butcher, D. R.; Salmeron, M.; Somorjai, G. A. Restructuring of Hex-Pt(100) under CO Gas Environments: Formation of 2-D Nanoclusters. Nano Lett. 2009, 9, 2167−2171. (15) Ritter, E.; Behm, R. J.; Pötschke, G.; Wintterlin, J. Direct Observation of a Nucleation and Growth Process on an Atomic Scale. Surf. Sci. 1987, 181, 403−411. (16) Martin, R.; Gardner, P.; Bradshaw, A. M. The AdsorbateInduced Removal of the Pt{100} Surface Reconstruction. Part II: CO. Surf. Sci. 1995, 342, 69−84. (17) Butcher, D. R. In Situ Studies of Surface Mobility on Noble Metal Model Catalysts Using STM and XPS at Ambient Pressure. Ph.D. Dissertation, University of California, Berkeley, CA, 2010. (18) Borg, A.; Hilmen, A. M.; Bergene, E. STM Studies of Clean, CO- and O2-Exposed Pt(100)-hex-R0.7°. Surf. Sci. 1994, 306, 10−20. (19) Griffiths, K.; Jackman, T. E.; Davies, J. A.; Norton, P. R. Interaction of O2 with Pt(100): I. Equilibrium Measurements. Surf. Sci. 1984, 138, 113−124. (20) Norton, P. R.; Griffiths, K.; Bindner, P. E. Interaction of O2 with Pt(100): II. Kinetics and Energetics. Surf. Sci. 1984, 138, 125−147. (21) Mase, K.; Murata, Y. LEED Study of NO Adsorption-Induced Restructuring of a Single-Domain Pt(001)-(20 × 5) Surface at 80−410 K. Surf. Sci. 1992, 277, 97−108. (22) Bonzel, H. P.; Brodén, G.; Pirug, G. Structure Sensitivity of NO Adsorption on a Smooth and Stepped Pt(100) Surface. J. Catal. 1978, 53, 96−105. (23) Hatzikos, G. H.; Masel, R. I. Structure Sensitivity of Ethylene Adsorption on Pt(100): Evidence for Vinylidene Formation on (1 × 1) Pt(100). Surf. Sci. 1987, 185, 479−494. (24) McCrea, K. R.; Somorjai, G. A. SFG-Surface Vibrational Spectroscopy Studies of Structure Sensitivity and Insensitivity in Catalytic Reactions: Cyclohexene Dehydrogenation and Ethylene Hydrogenation on Pt(111) and Pt(100) Crystal Surfaces. J. Mol. Catal. A: Chem. 2000, 163, 43−53. (25) Morgan, A. E.; Somorjai, G. A. Low Energy Electron Diffraction Studies of Gas Adsorption on the Platinum (100) Single Crystal Surface. Surf. Sci. 1968, 12, 405−425. (26) Fischer, T. E.; Kelemen, S. R. Adsorption of Ethylene on the Pt(100) Surface. Surf. Sci. 1977, 69, 485−507. (27) Rønning, M.; Bergene, E.; Borg, A.; Ausen, S.; Holmen, A. Scanning Tunnelling Microscopic Studies on the Adsorption and Decomposition of Ethene on the Reconstructed Pt(100)-hex-R0.7° Surface. Surf. Sci. 2001, 477, 191−197. (28) Tao, F.; Tang, D. C.; Salmeron, M.; Somorjai, G. A. A New Scanning Tunneling Microscope Reactor Used for High-Pressure and High-Temperature Catalysis Studies. Rev. Sci. Instrum. 2008, 79, 084101. (29) Klein, M.; Schwitzgebel, G. An Improved Lamellae Drop-Off Technique for Sharp Tip Preparation in Scanning Tunneling Microscopy. Rev. Sci. Instrum. 1997, 68, 3099−3103. (30) Aksoy, F.; Grass, M. E.; Joo, S. H.; Jabeen, N.; Hong, Y. P.; Hussain, Z.; Mun, B. S.; Liu, Z. Study of Electro-chemical Properties of Metal-Oxide Interfaces Using a Newly Constructed Ambient Pressure

4. CONCLUSIONS In summary, using in situ HP-STM and AP-XPS techniques, the interaction between the Pt(100)-hex surface and C2H4 was studied at pressures up to 1 Torr at 298 K. Under 1 Torr of C 2 H 4 , the Pt(100)-hex surface retains the hexagonal reconstruction while being covered with a saturation layer of di-σ-bonded ethylene and ethylidyne, which favor the 3-fold hollow sites on the hexagonally reconstructed Pt(100) surface. The high density of ethylene adsorbates prevents the adsorption of background CO, which has also a lower incidence rate on the surface owing to the shorter mean free path at 1 Torr. At 5 × 10−6 Torr of C2H4, however, background CO molecules can adsorb on Pt(100). The hexagonal reconstruction is therefore lifted, with 2−3 nm islands forming across the surface. Further increasing the C2H4 pressure from 5 × 10−6 to 1 Torr does not re-establish the hexagonal reconstruction owing to the presence of CO.



ASSOCIATED CONTENT

S Supporting Information *

Additional STM images and XPS spectra and the relevant discussion. This material is available free of charge via the Internet at http://pubs.acs.org.



AUTHOR INFORMATION

Corresponding Author

*Phone: (510) 486-6230 (M.S.); (510) 642-4053 (G.A.S.). Email: [email protected] (M.S.); [email protected] (G.A.S.). Author Contributions ⊥

These authors contributed equally to this work.

Notes

The authors declare no competing financial interest.



ACKNOWLEDGMENTS This work was supported by the Director, Office of Science, Office of Basic Energy Sciences, Materials Sciences and Engineering Division, of the U.S. Department of Energy under contract no. DE-AC02-05CH11231.



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